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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.12011 |
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| _version_ | 1866915448133517312 |
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| author | Faílde, D. Gómez, A. Fernández-Rossier, J. |
| author_facet | Faílde, D. Gómez, A. Fernández-Rossier, J. |
| contents | We consider the preparation of single-spinon wave functions, relevant for one-dimensional $S=1/2$ spin models, in a quantum computer. We adopt the recently proposed ansatz \cite{kulk} for the single-spinon wave function, where a state with $S=1/2$ is built in a spin chain with $L+1$ sites, adding a site with $S_z=1/2$ to the configurations of the ground-state wave function for the spin chain with length $L$. We extend the original work to the case of the Haldane-Shastry model. We discuss how to prepare the single-spinon ansatz both for the Heisenberg and Haldane-Shastry models in quantum computers, using a linear combination of unitaries. We consider three different strategies to compute the single-spinon energy in a quantum computer and analyze their cost in terms of the number of qubits, gates, and circuits. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_12011 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Preparation of the single-spinon wave function in a quantum computer Faílde, D. Gómez, A. Fernández-Rossier, J. Quantum Physics Strongly Correlated Electrons We consider the preparation of single-spinon wave functions, relevant for one-dimensional $S=1/2$ spin models, in a quantum computer. We adopt the recently proposed ansatz \cite{kulk} for the single-spinon wave function, where a state with $S=1/2$ is built in a spin chain with $L+1$ sites, adding a site with $S_z=1/2$ to the configurations of the ground-state wave function for the spin chain with length $L$. We extend the original work to the case of the Haldane-Shastry model. We discuss how to prepare the single-spinon ansatz both for the Heisenberg and Haldane-Shastry models in quantum computers, using a linear combination of unitaries. We consider three different strategies to compute the single-spinon energy in a quantum computer and analyze their cost in terms of the number of qubits, gates, and circuits. |
| title | Preparation of the single-spinon wave function in a quantum computer |
| topic | Quantum Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2508.12011 |